The Simple Center Projection of SU(2) Gauge Theory

Details The Simple Center Projection of SU(2) Gauge Theory The Simple Center Projection of SU(2) Gauge Theory

2000-07-17

arxiv.org/abs/hep-lat/0007022v2

Phys.Lett. B497 (2001) 159-164

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages LaTeX, four figures

Scientific paper

10.1016/S0370-2693(00)01343-5

We consider the SU(2) lattice gauge model. We propose a new gauge invariant definition of center projection, which we call the Simple Center Projection. We demonstrate the center dominance, i.e., the coincidence of the projected potential with the full potential up to the mass renormalization term at low energies. We also consider the center vortices and the center monopoles ({\em nexuses}). It turns out that the behavior of such objects qualitatively coincides with the behavior of the vortices and monopoles in the Maximal Center gauge. The connection of the condensation of nexuses with the dual superconductor theory is discussed. Numerically the procedure of extracting the center vortices proposed in this paper is much simpler than the usual Maximal Center Projection.

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